47561904 has 120 divisors (see below), whose sum is σ = 148813392. Its totient is φ = 14618880.

The previous prime is 47561897. The next prime is 47561929. The reversal of 47561904 is 40916574.

47561904 is a `hidden beast` number, since 4 + 7 + 561 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50074 + ... + 51014.

Almost surely, 2^47561904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47561904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74406696).

47561904 is an abundant number, since it is smaller than the sum of its proper divisors (101251488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47561904 is a wasteful number, since it uses less digits than its factorization.

47561904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 47561904 is about 6896.5139019653. The cubic root of 47561904 is about 362.3150803176.

The spelling of 47561904 in words is "forty-seven million, five hundred sixty-one thousand, nine hundred four".